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Finding the Fourth Proportional to 65,862, 90,889.56 and 36,054

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Solution

The fourth proportional to 65,862, 90,889.56 and 36,054 is: 49,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,862 : 90,889.56 = 36,054 : x
  2. Step 2: Convert to fraction form
    65,862/90,889.56 = 36,054/x
  3. Step 3: Cross multiply
    65,862x = 90,889.56 × 36,054
  4. Step 4: Simplify right side
    65,862x = 3,276,932,196.24
  5. Step 5: Solve for x
    x = 3,276,932,196.24/65,862
  6. Step 6: Final answer
    x = 49,754.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.